GIT stability of weighted pointed curves
نویسندگان
چکیده
منابع مشابه
Git Stability of Weighted Pointed Curves
In the late 1970s Mumford established Chow stability of smooth unpointed genus g curves embedded by complete linear systems of degree d ≥ 2g + 1, and at about the same time Gieseker established asymptotic Hilbert stability (that is, stability of m Hilbert points for some large values of m) under the same hypotheses. Both of them then use an indirect argument to show that nodal Deligne-Mumford s...
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It has long been understood that a moduli space may admit a plethora of different compactifications, each corresponding to a choice of combinatorial data. Two outstanding examples are the toroidal compactifications of quotients of bounded symmetric domains [AMRT] and the theory of variation of geometric invariant theory (GIT) quotients [BP] [DH] [Th]. However, in both of these situations a modu...
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Let D be a smooth projective curve of genus g over an algebraically closed field of characteristic zero. Let Mg denote the moduli stack of such curves. Let (S, h) be a polarized K3 surface of genus g, i.e., h is ample and primitive with h2 = 2g − 2. Let Fg denote the moduli stack of such surfaces. Now suppose D ⊂ S with [D] = h; let Pg denote the moduli space of such pairs (S,D), φg : Pg → Mg t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2012
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2011-05360-2